Chaotic synchronization of long chains by a small number of couplings

Analysis of numerical solutions for systems consisting of coupled van der Pol-Duffing oscillators with nonlinear coupling is presented. We study how drive and response systems in the form of long oscillator chains can be synchronized by a small number of interconnections between chains. We show that oscillations of the drive system oscillators and response system oscillators are synchronized in pairs, whereas the oscillators inside each chain remain unsynchronized